Sobolev cohomology for locally polycylindrical domains
type: Item
instance of: scholarly article
title: Sobolev cohomology for locally polycylindrical domains
zbMATH Open document ID: 1011.32017
DOI: 10.1155/S0161171202007366
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49978
full work available at URL: S0161171202007366.html
review text: The author proves a vanishing theorem for the cohomology with values in the sheaf of holomorphic functions which are in some Sobolev spaces on what he calls a locally polycylindrical domain in \(\mathbb{C}^n\); the method is practically the same as that of previous work of the author [Rend. Mat., VI. Ser. 12, No. 3-4, 587-596 (1979; Zbl 0454.32018)] where he considered the sheaf of germs of bounded holomorphic functions on the closure of a polycylinder.
reviewed by: Gheorghe Gussi
Mathematics Subject Classification ID: 32L20
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 32W10
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 32C38
zbMATH DE Number: 1780332
zbMATH Keywords: locally polycylindrical domain in \(\mathbb{C}^n\)
zbMATH Keywords: vanishing theorem
zbMATH Keywords: cohomology
zbMATH Keywords: sheaf of holomorphic functions
zbMATH Keywords: Sobolev spaces
author: Patrick W. Darko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1780332